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Finding the Third Proportional to 638,740,434 and 1,385,895,172

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Solution

The third proportional to 638,740,434 and 1,385,895,172 is: 3,007,020,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,740,434 : 1,385,895,172 = 1,385,895,172 : x
  2. Step 2: Convert to fraction form
    638,740,434/1,385,895,172 = 1,385,895,172/x
  3. Step 3: Cross multiply
    638,740,434x = 1,385,895,172 × 1,385,895,172
  4. Step 4: Simplify right side
    638,740,434x = 1,920,705,427,772,909,568
  5. Step 5: Solve for x
    x = 1,920,705,427,772,909,568/638,740,434
  6. Step 6: Final answer
    x = 3,007,020,262.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.